Combination of probabilistic and convex models of uncertainty when scarce knowledge is present on acoustic excitation parameters

Elishakoff, Isaac; Colombi, Pierluigi

doi:10.1016/0045-7825(93)90197-6

Cited by 117 publications

(42 citation statements)

References 4 publications

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“…In the field of civil engineering, most parameters may be assumed to be approximately distributed. If the distribution forms of the assumption are non-uniform, the parameters can be assumed as interval variables with the dispersion acquired by 3σ criterion, and the coefficient of dispersion is in the scope of [1,3]. With the consideration of Eq.…”

Section: Solution Algorithmsmentioning

confidence: 99%

Hybrid reliability model for fatigue reliability analysis of steel bridges

Cao

Lei

2016

J. Cent. South Univ.

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A kind of hybrid reliability model is presented to solve the fatigue reliability problems of steel bridges. The cumulative damage model is one kind of the models used in fatigue reliability analysis. The parameter characteristics of the model can be described as probabilistic and interval. The two-stage hybrid reliability model is given with a theoretical foundation and a solving algorithm to solve the hybrid reliability problems. The theoretical foundation is established by the consistency relationships of interval reliability model and probability reliability model with normally distributed variables in theory. The solving process is combined with the definition of interval reliability index and the probabilistic algorithm. With the consideration of the parameter characteristics of the S−N curve, the cumulative damage model with hybrid variables is given based on the standards from different countries. Lastly, a case of steel structure in the Neville Island Bridge is analyzed to verify the applicability of the hybrid reliability model in fatigue reliability analysis based on the AASHTO.

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Section: Solution Algorithmsmentioning

confidence: 99%

Hybrid reliability model for fatigue reliability analysis of steel bridges

Cao

Lei

2016

J. Cent. South Univ.

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“…and non-probabilistic variables appear in the same problem, the failure probability can be provided by the hybrid reliability model. A combination of stochastic variables and uncertain-but-bounded variables has been suggested for applications in such circumstances (Elishakoff & Colombi, 1993;Oberkampf, Helton, Joslyn, & Wojtkiewicz, 2004). Some numerical methods, including the function approximation technique by Penmetsa and Grandhi (2002), the iterative rescaling method by Hall and Lawry (2004) and the probability bounds (p-box) approach by Karanki, Kushwaha, Verma, and Ajit (2009), have been proposed for the lower and upper bounds estimation of the structural reliability in the presence of both stochastic and interval variables.…”

Section: Introductionmentioning

confidence: 99%

Hybrid probabilistic fuzzy and non-probabilistic model of structural reliability

Qiu

2010

Computers & Industrial Engineering

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“…From as early as 1993, attempts have been made to assess and analyze the structural safety in the presence of both stochastic variables and uncertain-but-bounded variables by Elishakoff and Colombi [24]. Recently, many numerical methods, including the multi-point approximation technique [25], the iterative rescaling method [26], the probability bounds (p-box) approach [27], and the interval truncation method [28], have been proposed for estimating the lower and upper bounds of failure probability of structures with a combination of stochastic and interval variables.…”

Section: Introductionmentioning

confidence: 99%